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Finding the Fourth Proportional to 6,680.47, 9,223.25 and 4,291.41

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Solution

The fourth proportional to 6,680.47, 9,223.25 and 4,291.41 is: 5,924.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,680.47 : 9,223.25 = 4,291.41 : x
  2. Step 2: Convert to fraction form
    6,680.47/9,223.25 = 4,291.41/x
  3. Step 3: Cross multiply
    6,680.47x = 9,223.25 × 4,291.41
  4. Step 4: Simplify right side
    6,680.47x = 39,580,747.28
  5. Step 5: Solve for x
    x = 39,580,747.28/6,680.47
  6. Step 6: Final answer
    x = 5,924.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.